Question
What is the missing exponent in the following equation? s500s?=s175 Note: only type the exponent in the box, do not include any variables. Show your work. (1 point)
Answers
GPT-4o mini
To solve for the missing exponent in the equation \( s^{500} s^? = s^{175} \), we can use the property of exponents that states when multiplying like bases, we add the exponents.
The equation can be rewritten as:
\[
s^{500 + ?} = s^{175}
\]
Since the bases are the same, we can set the exponents equal to each other:
\[
500 + ? = 175
\]
Now, to find the missing exponent (represented as ?), we will solve for ?:
\[
? = 175 - 500
\]
\[
? = -325
\]
Therefore, the missing exponent is:
\[
\boxed{-325}
\]
The equation can be rewritten as:
\[
s^{500 + ?} = s^{175}
\]
Since the bases are the same, we can set the exponents equal to each other:
\[
500 + ? = 175
\]
Now, to find the missing exponent (represented as ?), we will solve for ?:
\[
? = 175 - 500
\]
\[
? = -325
\]
Therefore, the missing exponent is:
\[
\boxed{-325}
\]